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The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of the function that represents the average cost per person?
The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.
The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
The vertical asymptote x = 0 represents that the cost per person approaches $0 as the number of people increases.
The vertical asymptote x = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Using proportions, it is found that the scale factor of the transformation is of 1/3.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, during the transformation, each coordinate was divided by 3, hence, applying the proportion, the scale factor of the transformation is of 1/3.

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The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle has coordinates,

A(2, -2), B(5, -3) and C(2, -4).

First the triangle is translated by the rule (x, y) → (x - 1, y + 6)

A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).

B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)

C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)

Then the translated triangle is reflected across the Y axis.

When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.

A'(1, 4) becomes A''(-1, 4)

B'(4, 3) becomes B''(-4, 3)

C'(1, 2) becomes C''(-1, 2)

Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).

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Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Answer:

P(A)=0.75

Step-by-step explanation:

I think you already have your answer. If this is all the information given in the problem, there is nothing more to do.

Answer:

(0,0)

Step-by-step explanation:

Answer:

40.5=40 1/2

Step-by-step explanation:

Answer: 40.5 as a fraction is 81/2. ✅

Step-by-step explanation:

Sure, here's a step-by-step explanation of how I got the fraction 81/2 for the decimal number 40.5:

Identify the number of decimal places in the decimal representation of 40.5, in this case, it's 1.

Write the decimal number as a fraction by placing the decimal number over a power of 10 that has the same number of zeroes as there are decimal places in the decimal representation. In this case, it's 40.5 / 10^1 (or 40.5/10).

Simplify the fraction if possible by dividing both the numerator and denominator by a common factor if one exists. In this case, the fraction is already in its simplest form.

The fraction representation of 40.5 is 405/10

Simplify the fraction again if possible by dividing both the numerator and denominator by a common factor if one exists. In this case, the fraction can be simplified further by dividing both the numerator and denominator by 5.

So, the fraction representation of 40.5 is 81/2

Hence, the fraction representation of 40.5 is 81/2.

Hello, 928747! I can help you.

So starting the game, Nikki earned 20 points. She then lost 10 and then another 25 on her final turn.

Starting at 20 points loosing 10 and loosing another 25

20 - 10 - 25 = -15

Nikki's final score is -15 points.

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Therefore , the solution of the given problem of linear equation comes out to be  original price is $34.21.

The formula y=mx+b is used to produce a simple regression curve. The slope is B, and the y-intercept is m. So although y or y are independent portions, the previous line is sometimes referred to as a "math equation mixing multiple variables." In bivariate linear equations, there are just two variables. Application problems involving linear equations have no known solutions. A simple system of equations is represented by the notation Y=mx+b, which is also written as mx+b.

Here,

Given :

=>  hat cost is $33. 2

=> Discount = 24% off

new price is $26

So , to find the original  price let it be considered as x

=> x * 76/100 = 26

=> x = 26 * 100 /76

=> x = 2600/76

=> x = 34.21

thus , original price is $34.21

Therefore , the solution of the given problem of linear equation comes out to be  original price is $34.21.

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|n| means Absolute value which could be + or -

therefore the answers are:

-5 or 5

For 5 chairs, the machine needs 25 minutes.

A percentage in mathematics is an equation that connects two or more ratios and declares that they are equal. Two values are compared in a ratio, which is frequently stated as a fraction or the division of two integers. A percentage, which usually takes the form: expresses the equivalence of two or more ratios.

a/b = c/d

Given:

Rate of production = 2 chairs every 10 minutes

Time taken to make 5 chairs

2 chairs / 10 minutes = 5 chairs / x minutes

Cross-multiplying,

2 * x = 10 * 5

2x = 50

Dividing both sides by 2:

x = 50 / 2

x = 25

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Complete Question: a machine factory makes chairs at a rate 2 chair every 10 minutes how much time does machine take to make five chairs?

Answer:

\(3.2\:\text{hours}\) is spent playing dance music.

Step-by-step explanation:

Given: During \(24\) hours a radio station spends \(\frac{1}{5}\) of the time playing rock music, \(\frac{2}{3}\) playing hip hop, and the rest playing dance music.

To find: How much time is spent playing dance music?

Solution:

We have,

Radio station spends \(\frac{1}{5}\) of the time playing rock music.

Radio station spends \(\frac{2}{3}\) of the time playing hip hop.

Radio station spends rest of the time playing dance music.

So,

Time spend on playing rock music \(=\frac{1}{5}\times24 = 4.8\:\text {hours}\)

Time spend on playing hip hop \(=\frac{2}{3}\times24 = 16\:\text {hours}\)

Now, total time radio station spends on all the three music is \(24\) hours.

Therefore, rest of the time\(=24-(16+4.8)=3.2\:\text{hours}\)

It is given that in the rest of the time, the radio station plays dance music.

Hence, \(3.2\:\text{hours}\) is spent playing dance music.

I think it's FALSE I sure

1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

Check your work

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

Check your work

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

Check your work

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

Hope it helps <3

Answer:

25

Step-by-step explanation:

15/6*10 = 25

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

The mother is now 20 years old and the daughter is 8 years old. Let the mother's age be x and the daughter's age be y. We can write the equation x - 12 = y and x - 4 = 4y. Solving these equations simultaneously gives us x = 20 and y = 8.

Step-by-step explanation:

For the water utility (an enterprise fund) has just sent out a purchase order to a vendor for some new equipment, of the following that would be included in the journal entry to record this event is none of the above. (Option D)

An enterprise fund refers to a fund which may be used to report any activity for which a fee is charged to external users for goods or services. An enterprise fund uses a separate accounting and financial reporting mechanism for which revenues and expenditures are segregated into a fund with financial statements separate from all other governmental activities. Enterprise funds provide goods and services to customers outside the reporting entity. Hence, from the options of journal entry records, none of the given options will be used.

Note: The question is incomplete as it is missing options which are A) A credit to Accounts Payable. B) A debit to Encumbrances. C) A debit to Expenditures. D) None of the above.

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Therefore, the determinant of matrix B is 13. The determinant of A is the product of the pivots in the upper triangular matrix U is 6/5.

(a) Using the cofactor formula, we have:

|B| = 3 * |3 0 7|

- 2 * |2 0 1|

+ 0 * |-2 0 1|

= 3 * (3*1 - 0*5) - 2 * (2*1 - 0*(-2)) + 0 * (-2*0 - 0*1)

= 9 + 4 + 0

= 13

(b) To find the PA=LU factorization of matrix A, we perform Gaussian elimination with partial pivoting. The first step is to interchange the first and second rows to get a nonzero pivot in the (1,1) position:

| 3 1 2 | | 3 1 2 |

| 0 2 5 | -> | 0 -5 -1 |

| 3 5 5 | | 0 0 5 |

Next, we perform row operations to get zeros below the pivot in the second row:

| 3 1 2 | | 3 1 2 |

| 0 -5 -1 | -> | 0 -5 -1 |

| 0 4 3 | | 0 19 11 |

Finally, we divide the second row by -5 and subtract 3 times the second row from the third row to get zeros below the (3,2) position:

| 3 1 2 | | 3 1 2 |

| 0 1 1/5| -> | 0 1 1/5|

| 0 0 2/5| | 0 0 32/5|

Therefore, we have:

A = LU = | 3 1 2 | | 1 0 0 | | 3 1 2 |

| 0 1 1/5 | * | 0 1 0 | = | 0 1 1/5|

| 0 0 2/5 | | 0 0 32/5| | 0 0 2/5 |

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The 95% confidence interval of voters not favoring the incumbent is (0.0706, 0.1294).

Sample size, n=400

Sample proportion, p = 40 / 400

= 0.1

We use normal approximation, for this, we check that both np and n(1-p) >5.

Since n*p = 40 > 5 and n*(1-p) = 360 > 5, we can take binomial random variable as normally distributed, with mean = p = 0.1 and standard deviation  = root( p * (1-p) /n )

= 0.015

For constructing Confidence interval,

Margin of Error (ME) =  z x SD = 0.0294

95% confidence interval is given by Sample Mean +/- (Margin of Error)

0.1 +/- 0.0294 = (0.0706 , 0.1294)

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Answer:

Two real world situations are shown below.

Step-by-step explanation:

Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is

\(f(x)=1(2)^x\)

\(f(x)=(2)^x\)

A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is

\(f(x)=1(2)^x\)

\(f(x)=(2)^x\)

9???????????????????????????????

Answer:

I'm going to guess that you are trying to find z. If so, Z is 9.

Step-by-step explanation:

Z + 18 = 27

Subtract 18 on both sides

Z + 18 = 27

Z - 18 = - 18

Z = 9

Answer:

4.8333

Step-by-step explanation:

It is a repeating decimal. Hope it helps

The decimal form of the given fraction is 4.8333

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

Given that, convert 4 5/6 into a decimal,

The given mixed fraction is =

4 5/6

Converting into fraction,

29 / 6

Dividing 29 by 6, we get,

29 / 6 = 4.833

Hence, the decimal form of the given fraction is 4.8333

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Answer:

Step-by-step explanation:

Answer:

4 x 1/4

Step-by-step explanation:

The box is split into 4 representing the 1/4 and it goes to the 4 on the number line representing the.

The required width of the rectangle is 10 meters.

Given that,
A rectangular field has a perimeter of 150m The field is 15 meters longer than it is wide. The width of the field is x meters.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
The area of the rectangle = length * width
150 = 15 * x
x = 150 / 15
x = 10

Thus, the required width of the rectangle is 10 meters.

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If the blade weights from this process are normal, the probability that a blade weight will exceed 5.20 is equal to the area under the normal distribution curve to the right of 5.20.

If we assume that the blade weights from this process are normally distributed, we can use the properties of the normal distribution to calculate the probability that a blade weight will exceed 5.20. The normal distribution is a continuous probability distribution that is symmetric and bell-shaped. It is fully characterized by its mean (μ) and standard deviation (σ).

To calculate the probability that a blade weight will exceed 5.20, we need to calculate the area under the normal distribution curve to the right of 5.20. This area represents the probability of observing a blade weight that is greater than 5.20. We can use a standard normal distribution table or a statistical software to find this probability.

For example, if the mean blade weight is 5.00 and the standard deviation is 0.10, we can standardize the blade weight by calculating its z-score using the formula: z = (x - μ) / σ = (5.20 - 5.00) / 0.10 = 2. The z-score represents the number of standard deviations that a blade weight is away from the mean. We can then use a standard normal distribution table to find the probability that a standard normal random variable is greater than 2, which is equal to 0.0228. This means that the probability that a blade weight will exceed 5.20 is approximately 0.0228 or 2.28%.

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1) The equation P = 2Q + 3 represents a supply curve. The slope of the curve is 2.

2) The equation P = -8Q + 10 represents a demand curve. The slope of the curve is -8.

3) Solving the system of equations P = 12 - 2Q and P = 3 + Q, we find that the equilibrium price is $7 and the equilibrium quantity is 5. The supply and demand curves can be graphed using the "Supply" and "Demand" tools.

4) Using the equations P = 50 - 2Qd and P = 10 + 2Qs, we determine that the equilibrium quantity is 20 units and the equilibrium price is $30. If the price changes to $20, the new quantity supplied is 10 units and the new quantity demanded is 30 units, resulting in a surplus of 20 units. To return to equilibrium, the market will experience downward pressure on price, which will decrease quantity supplied and increase quantity demanded until a new equilibrium is reached.

1) The equation P = 2Q + 3 represents a supply curve because it shows the relationship between price (P) and quantity supplied (Q). The slope of the curve is 2, indicating that for every unit increase in quantity supplied, the price increases by 2 units.

2) The equation P = -8Q + 10 represents a demand curve because it shows the relationship between price (P) and quantity demanded (Q). The slope of the curve is -8, indicating that for every unit increase in quantity demanded, the price decreases by 8 units.

3) Solving the system of equations P = 12 - 2Q and P = 3 + Q, we set them equal to each other to find the equilibrium point. By substituting P, we get 12 - 2Q = 3 + Q. Simplifying the equation, we find Q = 5. Substituting this value into either equation, we find P = 7. Therefore, the equilibrium price is $7 and the equilibrium quantity is 5. The supply and demand curves can be graphed using the given equations, and the equilibrium point can be marked as (5, 7).

4) Using the equilibrium condition Qs = Qd, we set 10 + 2Qs = 50 - 2Qd. Solving this equation, we find Q = 20. Therefore, the equilibrium quantity is 20 units. Substituting this value into either equation, we find P = $30. If the price changes to $20, we can substitute this value into the demand equation to find Qd = 30 units. Substituting into the supply equation, we find Qs = 10 units. This creates a surplus of 20 units. To return to equilibrium, the market will experience downward pressure on price as suppliers try to sell their excess supply. This will decrease quantity supplied and increase quantity demanded until a new equilibrium is reached.

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the expression StartRoot StartFraction 25 x Superscript 9 Baseline y Superscript 3 Baseline Over 64 x Superscript 6 Baseline y Superscript 11 Baseline EndFraction EndRoot is equivalent to 25x9y3 / 64x6y11.

StartRoot StartFraction 25 x Superscript 9 Baseline y Superscript 3 Baseline Over 64 x Superscript 6 Baseline y Superscript 11 Baseline EndFraction EndRoot

= 25x9y3 / 64x6y11

StartRoot is the beginning of the root expression and StartFraction is the beginning of the fraction within the root expression. 25x9y3 is the numerator of the fraction and 64x6y11 is the denominator of the fraction. Superscript is used to raise the numbers to the power indicated. Baseline is the number which the Superscript is raised to. EndFraction indicates the end of the fraction and EndRoot indicates the end of the root expression.

Therefore, the expression StartRoot StartFraction 25 x Superscript 9 Baseline y Superscript 3 Baseline Over 64 x Superscript 6 Baseline y Superscript 11 Baseline EndFraction EndRoot is equivalent to 25x9y3 / 64x6y11.

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The number of people coming in during the lunch hour is 160

The complete question is in the attached image

The random numbers are given as:

18, 38, 87, 16, 56, and 5

Regroup the numbers

Number           Group       Probability

5, 16, 18           1 - 20             3/6

38, 56             21 - 60           2/6

56                    61 - 90          1/6

Based on the individual numbers and the probability table, we have:

X      20      30     40

P     3/6     2/6    1/6

The expected value is:

\(E(x) = \sum xp\)

This gives

E(x) = 20 * 3/6 + 30 * 2/6 * 40 * 1/6

Evaluate

E(x) = 160/6

There are six ten-minute intervals.

So, we have:

People = 6 * 160/6

Evaluate

People = 160

Hence, the number of people coming in during the lunch hour is 160

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Answer: the blue figure

Step-by-step explanation: 8 x 16= 128 and then 11.4 x 8 x 13= 1186 so 1186 is bigger than 128, which means that the answer to your question is the blue figure.

I hope this helps!